Answer:
Time t = 1.39 seconds
Step-by-step explanation:
Given;
Initial velocity v = 20 ft/sec
height equation;
h = -16t^2 + 20t + 6
How long does it take for the disc to be caught 3 feet off the ground;
At this point h = 3
Substituting h = 3 into the height equation;
3 = -16t^2 + 20t + 6
-16t^2 + 20t + 6 - 3 = 0
-16t^2 + 20t + 3 = 0
Solving the quadratic equation;
t = 1.39 or t = -0.14
Since t cannot be negative;
Time t = 1.39 seconds
First of all, if you are traveling more, then you will have to take more time to get there. So since the answer A is less than the original number 50 you can rule that choice out. Now to solve, you will put 50 over 55 such as this 50/55. This represents miles/minutes. So next you will put 75/x since we are trying to solve for x (minutes). Now our problem looks like this 50/55 times 75/x. To solve the answer you will need to cross multiply. You will multiply 75 and 55 together to get 4,125. (This will be your numerator, or top number) Next you will multiply 50 and x, this gives you 50. (This will be your denominator, or bottom number. Now you have 4,125/50. Divide your two numbers and you get 82.5! The answer is D. 82.5! Hope I helped!
The number is 82
hope it helps
Answer:
99
Step-by-step explanation:
110% × 90 = 99
<em>OR</em>
110/100 × 90 (Simplify this)
11/10 × 90 (Divide 10 into 90 / Cross multiply)
11 × 9 = 99
We have that
x²<span>-6x+7=0
</span>Group terms that contain the same variable
(x²-6x)+7=0
Complete the square Remember to balance the equation
(x²-6x+9-9)+7=0
Rewrite as perfect squares
(x-3)²+7-9=0
(x-3)²-2=0
(x-3)²=2
(x-3)=(+/-)√2
x=(+/-)√2+3
the solutions are
x=√2+3
x=-√2+3
